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Finding the Fourth Proportional to 1,357.14, 2,034.44 and 491.24

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Solution

The fourth proportional to 1,357.14, 2,034.44 and 491.24 is: 736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.14 : 2,034.44 = 491.24 : x
  2. Step 2: Convert to fraction form
    1,357.14/2,034.44 = 491.24/x
  3. Step 3: Cross multiply
    1,357.14x = 2,034.44 × 491.24
  4. Step 4: Simplify right side
    1,357.14x = 999,398.31
  5. Step 5: Solve for x
    x = 999,398.31/1,357.14
  6. Step 6: Final answer
    x = 736.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.